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Finding the Fourth Proportional to 2,165.46, 3,248.16 and 1,779.90

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Solution

The fourth proportional to 2,165.46, 3,248.16 and 1,779.90 is: 2,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.46 : 3,248.16 = 1,779.90 : x
  2. Step 2: Convert to fraction form
    2,165.46/3,248.16 = 1,779.90/x
  3. Step 3: Cross multiply
    2,165.46x = 3,248.16 × 1,779.90
  4. Step 4: Simplify right side
    2,165.46x = 5,781,399.98
  5. Step 5: Solve for x
    x = 5,781,399.98/2,165.46
  6. Step 6: Final answer
    x = 2,669.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.